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Find the principal value of `sin^1(sin"(2pi)/3)`

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Fill in the blank choosing correct answer from the brackets The principal value of "sin"^(-1)("sin"(2pi)/3) "is"______. ((2pi)/3, pi/3,(4pi/3)

Fill in the blanks choosing correct answer from the brackets. The principal value of "sin"^(_1)("sin"(2pi)/(3)) is …. . ((2pi)/(3),pi/(3),(4pi)/(3))

write the principal value of sin^(-1)[sin((3pi)/5)] .

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Given an example of a function which is both odd and even function.

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  2. If abs(veca+vecb)=abs(veca-vecb)then what is the angle between vecaand...

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  3. Find the principal value of sin^1(sin"(2pi)/3)

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  4. Find d/dx[e^(x)+sinx/1+logx]

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  5. What is the interval in which y=sinx,x"in[0,2pi]is increasing?

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  6. What is the value of int-1^1xabsxdx

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  7. If cos^-1x+cos^-1y+cos^-1z=pi, prove that x^2+y^2+z^2+2xyz=1.

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  8. Find the domain of the functionf(x)=sqrt(log(12/(x^2-x))).

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  9. Solve the pair of these equationsx+y=10,3x+y=12,

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  10. Show that sin^(-1)(1/sqrt(10))+cos^(-1)(2/sqrt5)=pi/4.

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  11. If a relation R:AtoAis an equivalence relation then prove that R^-1:A ...

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  12. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

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  13. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

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  14. alpha = 0.9. The value of beta is

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  15. If Aand B are both symmetric matrices of same oder,then prove that AB...

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  16. If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...

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  17. Solve by matrix method 2x+y=5,x-y=1

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  18. Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...

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  19. If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.

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  20. If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1/2

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